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We propose a simple model consisting of a magnetic domain wall proximity-coupled to an $s$-wave superconductor for realization of Majorana zero-energy modes. A spin-dependent gauge transformation translates the rotating magnetic profile…

Strongly Correlated Electrons · Physics 2016-03-24 Babak Zare Rameshti , Yaser Hajati , Imam Makhfudz

Magnetic chains on superconductors hosting Majorna Zero Modes (MZMs) attracted high interest due to their possible applications in fault-tolerant quantum computing. However, this is hindered by the lack of a detailed, quantitative…

We study a chain of ferromagnetic nano-particles or ferromagnetic molecule/atoms on a substrate of fully gapped superconductors. We find that under quite realistic conditions, the fermion-number-parity symmetry $Z_2^f$ can spontaneously…

Strongly Correlated Electrons · Physics 2015-10-28 Joel Klassen , Xiao-Gang Wen

Majorana zero modes (MZMs) are highly sought-after states with a possible application in quantum computation. Here, we show that vortex-core MZMs can carry a nontrivial angular momentum. This establishes new `flavors' of Majorana modes,…

Superconductivity · Physics 2026-01-19 Giulia Venditti , Christophe Berthod , Louk Rademaker

I explicitly construct a strong zero mode in the XYZ chain or, equivalently, Majorana wires coupled via a four-fermion interaction. The strong zero mode is an operator that pairs states in different symmetry sectors, resulting in identical…

Statistical Mechanics · Physics 2017-07-19 Paul Fendley

We study the effects of disorder on a Kitaev chain with longer-range hopping and pairing terms which is capable of forming local zero energy excitations and, hence, serves as a minimal model for localization-protected edge qubits. The clean…

Disordered Systems and Neural Networks · Physics 2018-10-24 Simon Lieu , Derek K. K. Lee , Johannes Knolle

We propose a simple scenario to describe a dislocation-induced Majorana zero mode on the surface of an iron-based superconductor, using an illustrative model with a cylindrical hole of radius $R$ perpendicular to its top surface.…

Superconductivity · Physics 2025-05-28 Naoki Otsuki , Yositake Takane

We study the equilibrium dc Josephson current in a junction between an $s$-wave and a topological superconductor. Cooper pairs from the $s$-wave superconducting lead can transfer to the topological side either via an unpaired Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2021-02-09 Chun-Xiao Liu , Bernard van Heck , Michael Wimmer

Edge states forming at the boundaries of topologically non-trivial phases of matter are promising candidates for future device applications because of their stability against local perturbations. Magnetically ordered spin chains…

Superconductivity · Physics 2023-05-31 Lucas Schneider , Philip Beck , Levente Rózsa , Thore Posske , Jens Wiebe , Roland Wiesendanger

Majorana zero modes (MZMs) have been predicted to exist in the topological insulator (TI)/superconductor (SC) heterostructure. Recent spin polarized scanning tunneling microscope (STM) experiment$^{1}$ has observed spin-polarization…

Superconductivity · Physics 2021-02-02 Lun-Hui Hu , Chuang Li , Dong-Hui Xu , Yi Zhou , Fu-Chun Zhang

We propose a mechanism for opening a full bulk energy gap and inducing vortex Majorana zero modes (MZMs) in nodal superconductors (SCs). We show that this becomes possible by coupling the nodal SC of interest to a magnetic texture crystal.…

Mesoscale and Nanoscale Physics · Physics 2021-11-08 Daniel Steffensen , Brian M. Andersen , Panagiotis Kotetes

Using a cryogenic scanning tunneling microscopy, we report the observation of topologically nontrivial superconductivity on a single material of \beta-Bi2Pd films grown by molecular beam epitaxy. The superconducting gap associated with…

Superconductivity · Physics 2017-06-20 Yan-Feng Lv , Wen-Lin Wang , Yi-Min Zhang , Hao Ding , Wei Li , Lili Wang , Ke He , Can-Li Song , Xu-Cun Ma , Qi-Kun Xue

A one-dimensional fermionic system, such as a superconducting wire, may host Majorana zero-energy edge modes (MZMs) at its edges when it is in the topological phase. MZMs provide a path to realising fault-tolerant quantum computation, and…

Quantum Physics · Physics 2017-11-07 Sania Jevtic , Ryan Barnett

The idea of employing non-Abelian statistics for error-free quantum computing ignited interest in recent reports of topological surface superconductivity and Majorana zero modes (MZMs) in FeTe$_{0.55}$Se$_{0.45}$. An associated puzzle is…

We demonstrate the successful simulation of $\sqrt{Z}$-, $\sqrt{X}$- and $X$-quantum gates using Majorana zero modes (MZMs) that emerge in magnetic vortices located in topological superconductors. We compute the transition probabilities and…

Mesoscale and Nanoscale Physics · Physics 2025-04-24 Maxwell Buss , Jasmin Bedow , Prashant Gupta , Dirk K. Morr

We investigate the effect of correlated disorder on Majorana zero modes (MZMs) bound to magnetic vortices in two-dimensional topological superconductors. By starting from a lattice model of interacting fermions with a $p_x \pm i p_y$…

Superconductivity · Physics 2021-07-21 Casey Christian , Eugene F. Dumitrescu , Gábor B. Halász

Regular arrays of magnetic atoms on a superconductor provide a promising platform for topological superconductivity. In this work we study effects of disorder in these systems, focusing on vacancies realized by missing magnetic atoms. We…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Alex Westström , Kim Pöyhönen , Teemu Ojanen

Magnetic atoms on superconductors induce localized Yu-Shiba-Rusinov (YSR) bound states. The proposal that topological superconductivity and Majorana modes can be engineered in arrays of hybridizing YSR states has led to their intense…

It is difficult to unambiguously confirm the existence of Majorana zero modes (MZMs) due to the absence of smoking-gun signatures in charge transport measurements. Recent studies suggest that the spin degree of freedom of MZMs may provide…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Li Chen , Ying-Hai Wu , Xin Liu

Majorana zero modes (MZMs) emerging at the edges of topological superconducting wires have been proposed as the building blocks of novel, fault-tolerant quantum computation protocols. Coherent detection and manipulation of such states in…

Mesoscale and Nanoscale Physics · Physics 2019-08-28 Jesus D. Cifuentes , Luis G. G. V. Dias da Silva